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Matrix representation of Toeplitz operators on Newton spaces 牛顿空间上托普利兹算子的矩阵表示
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-29 DOI: 10.1186/s13660-024-03126-0
Eungil Ko, Ji Eun Lee, Jongrak Lee
{"title":"Matrix representation of Toeplitz operators on Newton spaces","authors":"Eungil Ko, Ji Eun Lee, Jongrak Lee","doi":"10.1186/s13660-024-03126-0","DOIUrl":"https://doi.org/10.1186/s13660-024-03126-0","url":null,"abstract":"In this paper, we study several properties of an orthonormal basis ${N_{n}(z)}$ for the Newton space $N^{2}({mathbb{P}})$ . In particular, we investigate the product of $N_{m}$ and $N_{m}$ and the orthogonal projection P of $overline{N_{n}}N_{m}$ that maps from $L^{2}(mathbb{P})$ onto $N^{2}(mathbb{P})$ . Moreover, we find the matrix representation of Toeplitz operators with respect to such an orthonormal basis on the Newton space $N^{2}({mathbb{P}})$ .","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140325350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the intermixed method for mixed variational inequality problems: another look and some corrections 关于混合变分不等式问题的混合法：另一种视角和一些修正
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-27 DOI: 10.1186/s13660-024-03123-3
Satit Saejung
{"title":"On the intermixed method for mixed variational inequality problems: another look and some corrections","authors":"Satit Saejung","doi":"10.1186/s13660-024-03123-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03123-3","url":null,"abstract":"We explore the intermixed method for finding a common element of the intersection of the solution set of a mixed variational inequality and the fixed point set of a nonexpansive mapping. We point out that Khuangsatung and Kangtunyakarn’s statement [J. Inequal. Appl. 2023:1, 2023] regarding the resolvent utilized in their paper is not correct. To resolve this gap, we employ the epigraphical projection and the product space approach. In particular, we obtain a strong convergence theorem with a weaker assumption.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140317063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On an m-dimensional system of quantum inclusions by a new computational approach and heatmap 用新的计算方法和热图研究 m 维量子夹杂系统
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-26 DOI: 10.1186/s13660-024-03125-1
Mehran Ghaderi, Shahram Rezapour
{"title":"On an m-dimensional system of quantum inclusions by a new computational approach and heatmap","authors":"Mehran Ghaderi, Shahram Rezapour","doi":"10.1186/s13660-024-03125-1","DOIUrl":"https://doi.org/10.1186/s13660-024-03125-1","url":null,"abstract":"Recent research indicates the need for improved models of physical phenomena with multiple shocks. One of the newest methods is to use differential inclusions instead of differential equations. In this work, we intend to investigate the existence of solutions for an m-dimensional system of quantum differential inclusions. To ensure the existence of the solution of inclusions, researchers typically rely on the Arzela–Ascoli and Nadler’s fixed point theorems. However, we have taken a different approach and utilized the endpoint technique of the fixed point theory to guarantee the solution’s existence. This sets us apart from other researchers who have used different methods. For a better understanding of the issue and validation of the results, we presented numerical algorithms, tables, and some figures. The paper ends with an example.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140315380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application 希尔伯特空间中分割平等变分不等式、变分包容和多集定点问题的强收敛性及其应用
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-25 DOI: 10.1186/s13660-024-03118-0
Charu Batra, Renu Chugh, Rajeev Kumar, Khaled Suwais, Sally Almanasra, Nabil Mlaiki
{"title":"Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application","authors":"Charu Batra, Renu Chugh, Rajeev Kumar, Khaled Suwais, Sally Almanasra, Nabil Mlaiki","doi":"10.1186/s13660-024-03118-0","DOIUrl":"https://doi.org/10.1186/s13660-024-03118-0","url":null,"abstract":"This paper introduces an innovative inertial simultaneous cyclic iterative algorithm designed to address a range of mathematical problems within the realm of split equality variational inequalities. Specifically, the algorithm accommodates finite families of split equality variational inequality problems, infinite families of split equality variational inclusion problems, and multiple-sets split equality fixed point problems involving demicontractive operators in infinite-dimensional Hilbert spaces. The algorithm integrates well-established methods, including the cyclic method, the inertial method, the viscosity approximation method, and the projection method. We establish the strong convergence of this proposed algorithm, demonstrating its applicability in various scenarios and unifying disparate findings from existing literature. Additionally, a numerical example is presented to validate the primary convergence theorem.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles N 维经典哈托格三角形上伯格曼投影的弱型正则性
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-21 DOI: 10.1186/s13660-024-03119-z
Yi Li, Mengjiao Wang
{"title":"Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles","authors":"Yi Li, Mengjiao Wang","doi":"10.1186/s13660-024-03119-z","DOIUrl":"https://doi.org/10.1186/s13660-024-03119-z","url":null,"abstract":"In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-dimensional classical Hartogs triangle and show that the Bergman projection is of weak type at the upper endpoint of $L^{q}$ -boundedness but not of weak type at the lower endpoint of $L^{q}$ -boundedness.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modified inertial viscosity extrapolation method for solving quasi-monotone variational inequality and fixed point problems in real Hilbert spaces 解决实希尔伯特空间中准单调变分不等式和定点问题的修正惯性粘度外推法
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-21 DOI: 10.1186/s13660-024-03113-5
Jacob A. Abuchu, Austine E. Ofem, Hüseyin Işık, Godwin C. Ugwunnadi, Ojen K. Narain
{"title":"Modified inertial viscosity extrapolation method for solving quasi-monotone variational inequality and fixed point problems in real Hilbert spaces","authors":"Jacob A. Abuchu, Austine E. Ofem, Hüseyin Işık, Godwin C. Ugwunnadi, Ojen K. Narain","doi":"10.1186/s13660-024-03113-5","DOIUrl":"https://doi.org/10.1186/s13660-024-03113-5","url":null,"abstract":"In this paper, we introduce and study a viscous-type extrapolation algorithm for finding a solution of the variational inequality problem and a fixed point constraint of quasi-nonexpansive mappings under the scope of real Hilbert spaces when the underlying cost operator is quasi-monotone. The method involves inertial viscosity approximation and a constructed self-adjustable step size condition that depends solely on the information of the previous step. We establish a strong convergence result of the proposed method under certain mild conditions on the algorithm parameters. Finally, to demonstrate the gain of our method, some numerical examples are presented in comparison with some related methods in literature.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation by modified ((p,q))-gamma-type operators 用修正的（(p,q)）-伽马型算子进行逼近
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-21 DOI: 10.1186/s13660-024-03109-1
Naim Latif Braha
{"title":"Approximation by modified ((p,q))-gamma-type operators","authors":"Naim Latif Braha","doi":"10.1186/s13660-024-03109-1","DOIUrl":"https://doi.org/10.1186/s13660-024-03109-1","url":null,"abstract":"The main object of this paper is to construct a new class of modified $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modulus of continuity and modulus of smoothness and their behavior in Lipschitz-type spaces. In section three, some results in the weighted spaces are given, and in the end, some shape-preserving properties are proven.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140205761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative 关于分形分数阶导数的新型艾滋病毒/艾滋病传播数学模型的存在性、唯一性、稳定性和数值问题
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-20 DOI: 10.1186/s13660-024-03098-1
Yanru Wu, Monireh Nosrati Sahlan, Hojjat Afshari, Maryam Atapour, Ardashir Mohammadzadeh
{"title":"On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative","authors":"Yanru Wu, Monireh Nosrati Sahlan, Hojjat Afshari, Maryam Atapour, Ardashir Mohammadzadeh","doi":"10.1186/s13660-024-03098-1","DOIUrl":"https://doi.org/10.1186/s13660-024-03098-1","url":null,"abstract":"In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a power-law type kernel. We prove the existence and uniqueness of a solution for the model and establish the stability conditions by employing Banach’s contraction principle and a generalized α-ψ-Geraghty type contraction. We perform stability analysis based on the Ulam–Hyers concept. To calculate the approximate solution, we utilize Gegenbauer polynomials via the spectral collocation method. The presented model includes two fractal and fractional order derivatives. The influence of the fractional and fractal derivatives on the outbreak of HIV is investigated by utilizing real data from the Cape Verde Islands in 1987–2014.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140170936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the qualitative behaviors of stochastic delay integro-differential equations of second order 论二阶随机延迟积分微分方程的定性行为
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-19 DOI: 10.1186/s13660-024-03085-6
Ayman M. Mahmoud, Cemil Tunç
{"title":"On the qualitative behaviors of stochastic delay integro-differential equations of second order","authors":"Ayman M. Mahmoud, Cemil Tunç","doi":"10.1186/s13660-024-03085-6","DOIUrl":"https://doi.org/10.1186/s13660-024-03085-6","url":null,"abstract":"In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140171188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Harary and hyper-Wiener indices of some graph operations 某些图运算的哈拉里指数和超维纳指数
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-15 DOI: 10.1186/s13660-024-03112-6
S. Balamoorthy, T. Kavaskar, K. Vinothkumar
{"title":"Harary and hyper-Wiener indices of some graph operations","authors":"S. Balamoorthy, T. Kavaskar, K. Vinothkumar","doi":"10.1186/s13660-024-03112-6","DOIUrl":"https://doi.org/10.1186/s13660-024-03112-6","url":null,"abstract":"In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Appl. 56:1402–1407, 2008). Moreover, we calculate the Harary index and the hyper-Wiener index of the ideal-based zero-divisor graph of a ring.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140148947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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